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Finding the Fourth Proportional to 6,354.54, 8,768.20 and 3,995

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Solution

The fourth proportional to 6,354.54, 8,768.20 and 3,995 is: 5,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.54 : 8,768.20 = 3,995 : x
  2. Step 2: Convert to fraction form
    6,354.54/8,768.20 = 3,995/x
  3. Step 3: Cross multiply
    6,354.54x = 8,768.20 × 3,995
  4. Step 4: Simplify right side
    6,354.54x = 35,028,959
  5. Step 5: Solve for x
    x = 35,028,959/6,354.54
  6. Step 6: Final answer
    x = 5,512.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.